Analysis
By Jonathan Blake, political correspondent
With polls suggesting a relatively high level of support and compliance with lockdown measures, ministers will need to tread carefully.
Nobody is expecting restrictions to be lifted overnight and life to return to normal - far from it.
But the mantra for people to "stay at home, protect the NHS and save lives" appears to have worked well.
A new message may have to be more nuanced, if more people are able to return to work and businesses are encouraged to adapt.
Signalling to the public that the time is right to take a step out of lockdown will also require convincing them it is safe to do so.
Thursday, when the government is legally required to review the restrictions, will be the day we find out what comes next.
Asked whether fewer people would have died if testing capacity had been greater sooner, he said: "Yes.
"If we had had 100,000 test capacity before this thing started and the knowledge that we now have retrospectively I'm sure many things could be different."
But he said that although the UK has a big pharmaceuticals industry, it does not have a testing industry like Germany's, making it more difficult to increase test numbers.
Defending the decision not to close airports or introduce screening for international arrivals earlier in the pandemic, Mr Shapps said the advice was that a "complete lockdown of the borders" might only have delayed the virus by three to five days.
"We had millions of people abroad who needed to return home," he said.
But he said that now the infection rate was falling to a more manageable level, plans for screening and quarantining people travelling to the UK from abroad were "a serious point under consideration".